A helicopter is moving at an inertial speed of vo = 10 m/s while its rotor blades spin at w = 40 rad/s CCW. Consider a body frame B = {G, 6₁, 6₂, 62} that is located at the rotor hub and has b₁ axis aligned and rotating with one of the blades. The tip of another blade is located at position P with respect to the body frame, that is, rp/G = 361 +3 b2 meters. 1. What is the inertial velocity Tvp/o of P with respect to O in frame I? Express your answer in terms of the unit vectors of frame I. Assume 0 = 15 deg.

A helicopter is moving at an inertial speed of vo = 10 m/s while its rotor blades spin at w = 40 rad/s CCW. Consider a body frame B = {G, 6₁, 6₂, 62} that is located at the rotor hub and has b₁ axis aligned and rotating with one of the blades. The tip of another blade is located at position P with respect to the body frame, that is, rp/G = 361 +3 b2 meters. 1. What is the inertial velocity Tvp/o of P with respect to O in frame I? Express your answer in terms of the unit vectors of frame I. Assume 0 = 15 deg.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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A helicopter is moving at an inertial speed of vo = 10 m/s while its rotor blades spin at w = 40
rad/s CCW. Consider a body frame B = {G, 6₁, 6₂, 6₂} that is located at the rotor hub and has ₁
axis aligned and rotating with one of the blades. The tip of another blade is located at position P
with respect to the body frame, that is, rp/G = 3 b₁ + 3 b2 meters.
1. What is the inertial velocity Tvp/o of P with respect to O in frame I? Express your answer
in terms of the unit vectors of frame I. Assume 0 = 15 deg.
ხე.
i3
22
i3
b1
i₁
2. Now suppose that at the same instant as in Part A the rotor blade experiences a failure
from a bird strike and a segment of the blade at P brakes off and is flung away from the
helicopter at a body-relative speed Bvp/G = 20 6₂ m/s. What is the inertial velocity Tvp/o of
P with respect to O in frame I? Express your answer in terms of the unit vectors of frame I.
Bup/G
b2
VO
VO

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